102003000004200 has 96 divisors (see below), whose sum is σ = 317469098489760. Its totient is φ = 27092430240000.

The previous prime is 102003000004177. The next prime is 102003000004201. The reversal of 102003000004200 is 2400000300201.

It is a super-3 number, since 3×102003000004200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102003000004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338504779 + ... + 338805978.

It is an arithmetic number, because the mean of its divisors is an integer number (3306969775935).

Almost surely, 2^{102003000004200} is an apocalyptic number.

102003000004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003000004200 is an abundant number, since it is smaller than the sum of its proper divisors (215466098485560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102003000004200 is a wasteful number, since it uses less digits than its factorization.

102003000004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677311027 (or 677311018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102003000004200 its reverse (2400000300201), we get a palindrome (104403000304401).

The spelling of 102003000004200 in words is "one hundred two trillion, three billion, four thousand, two hundred".